a. Given that the bond length of 'H1°F is 0.91 angstrom (1 angstrom = 10-10 m), calculate the %3D moment of inertia. b. Calculate the rotational constant (in J) for the diatomic in part a. c. Using your value for the rotational constant in part b, determine the energy of the transition from state 3 to state 4 (in J).

It is commonly the case that 2 energy states have the same energy. States at the same energy are known as degenerate. A given molecule has 2 degenerate states that are 700 cm-¹ (wavenumbers, 1/2) above the lowest energy state. Remember that E = h * v= h * C/ where c is the speed of light. a) Calculate the temperature at which this molecule has a 15% probability to be in either of the higher energy degenerate states. b) If you were able to observe this molecule for a 100 second time period, what would be the total amount of time you observe the molecule to be in the upper degenerate energy states and what would be the total amount of time you observe the molecule to be in the lower energy state? c) If there were 100 molecules present, on average about how many would be in the upper degenerate energy states and how many would be in the lower energy state?

The Morse potential energy is very useful as a simple representation of the actual molecular potential energy. When 85Rb1H was studied, it was found that ˜ν = 936.8 cm−1 and x_eν˜ = 14.15 cm−1. Plot the potential energy curve from 50 pm to 800 pm aroundRe = 236.7 pm. Then go on to explore how the rotation of a molecule may weaken its bond by allowing for the kinetic energy of rotation of a molecule and plotting V∗ = V + hcBJ˜ (J + 1) with B˜. Plot these curves on the same diagram for J = 40, 80, and 100, and observe how the dissociation energy is affected by the rotations. Hints: Taking B˜ = 3.020 cm−1 as the equilibrium bond length will greatly simplify the calculation. The mass of 85Rb is 84.9118mu

Use the equipartition principle to estimate the value of γ = Cpm/CVm  for gaseous N2O5. Do this calculation WITH the vibrational contribution to the energy.  a. 1.07 b. 1.33 c. 1.4 d. 1.7 e. 1.5

5.  The energy of one electron in H-atom is 1.36 x10-19 J.  Calculate the main electronic state.   a.1b.7c.4d.2

ClO2 is a nonlinear molecule with one unpaired electron. The ground-state has a B1 symmetry. The molecule has been trapped (immobilized) in a solid matrix, lying in the yz plane. Its electronic absorption spectrum showed an allowed transition when using light polarized in the y-direction. To what electronic state was the molecule excited? Justify your answer.

10 The bond length of the CN molecule is 1.3 x 10 m. Given RAM: C = 12.0, N = 14.0, calculate (to 3 sig. fig.): (NOTE: exp = x 10 (number in bracket) 2 1. The moment of inertia, I kg m 2. The rotational constant B -1 m 3. The position (in m) of the first line in the rotational spectrum of this molecule.